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A suspended corporation cannot (or rather, should not) do business as a corporation. In virtually no state can a corporation function while it is suspended, and essentially would be functioning as a sole proprietorship if it continues to do business even if suspended.
Now that is different from being sued/responding in Court, however. According to Needle v. Byram Cove, Inc., 2010 WL(###) ###-####(App. Div. 2010), although "a corporation whose charter has been revoked has limited access to our courts to enforce its rights" under certain circumstances, such corporations may sue and be sued in Court. See HERE.
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